Journal of Nonlinear Optical Physics & Materials 04(01) 13-25 1995年1月 査読有り
After reviewing the important roles of excitons in nonlinear optical responses, we demonstrate mutual and quantum-mechanical control of radiation field and excitons on the same footing in a microcavity. First we introduce dressed excitons as bosons interacting coherently and reversibly with a radiation mode in the microcavity. Although the vacuum Rabi splitting of the dressed exciton is the same as that of dressed atom, the emission spectrum under strong pumping shows quartet structure different from the triplet of dressed atom. Secondly, the population dynamics of dressed excitons, i.e., one-dimensional polaritons in the mesoscopic system is solved and the dominant distribution on a single mode is demonstrated above the critical pumping.
Tatsuya Hayashi, Fumitaka Yura, Jun Mada, Hiroki Kurihara, Tetsuji Tokihiro
Journal of Theoretical Biology 555 111300-111300 2022年12月
A two-dimensional mathematical model for dynamics of endothelial cells in
angiogenesis is investigated. Angiogenesis is a morphogenic process in which
new blood vessels emerge from an existing vascular network. Recently a
one-dimensional discrete dynamical model has been proposed to reproduce
elongation, bifurcation, and cell motility such as cell-mixing during
angiogenesis on the assumption of a simple two-body interaction between
endothelial cells. The present model is its two-dimensional extension, where
endothelial cells are represented as the ellipses with the two-body
interactions: repulsive interaction due to excluded volume effect, attractive
interaction through pseudopodia and rotation by contact. We show that the
oblateness of ellipses and the magnitude of contact rotation significantly
affect the shape of created vascular patterns and elongation of branches.